I am a postdoctoral researcher at the King's College London, working with Vladimir Dokchitser. My research area is number theory, and I am specifically interested in automorphic forms on higher rank groups and the geometric objects which are expected to correspond to these.
Address: Department of Mathematics, King's College London, Strand, London WC2R 2LS.
Office: K4U.21
Email: martin.j.dickson@kcl.ac.uk
[4] Hecke eigenvalues of Klingen--Eisenstein series of squarefree level. arXiv.
[3] Explicit refinements of Boecherer's conjecture for Siegel modular forms of squarefree level, joint with Ameya Pitale, Abhishek Saha, and Ralf Schmidt. arXiv.
[2] Local spectral equidistribution for Siegel modular forms with level, Int. J. Number Theory 11 (2015), no. 2, 341–396. Journal, arXiv.
[1] Fourier coefficients coefficients of degree 2 Siegel--Eisenstein series with trivial character at squarefree level, Ramanujan J. 37 (2015), no. 3, 541–562. Journal, arXiv.
On Siegel modular forms on $\Gamma_0(N)$. pdf. My PhD thesis. This is mostly the papers [1], [2], and [4] listed above.
Modular curves and the class number one problem. pdf. My part III essay. Beware that this was written when I first learned much of the surrounding theory, so expect the many associated disadvantages (as well as the few associated advantages).
I made the web page for Building Bridges: 2nd EU/US Summer School + Workshop on Automorphic Forms and Related Topics, which was held in Bristol, UK, 30th June - 11th July 2014. The web page includes links to lecture notes for the courses at the summer school, which may be of interest to graduate students.